In this discussion, you will practice writing down a hypothesis in words and using symbols and draw a conclusion based on the given results. For the initial post, select one of the two scenarios, and then:

(1) state the null and alternative hypothesis using words,

(2) state the null and alternative hypothesis using symbols,

(3) select an appropriate test (one-sample t-test, one proportion z-test, two-samples t-test, paired d t-test, and two-proportions z-test) to be used,

(4) determine whether you should reject the null hypothesis or fail to reject the null hypothesis,

(5) state the conclusion in the context of the problem, and

Scenario 1: Suppose that you make a field observation that American alligators (Alligator mississippiensis) are inactive and tend to move less during winter due to low temperature. You want to test this observation by hypothesis test. You deploy GPS tags on 10 randomly selected alligators. For each alligator, the difference in mean movement distance between two time periods (winter and rest of the year) are calculated. You chose to use the significance level 0.05 and the p-value is 0.001.